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Author: Barbara Lee Keyfitz Publisher: American Mathematical Soc. ISBN: 0821850695 Category : Mathematics Languages : en Pages : 148
Book Description
The area of nonstrictly hyperbolic conservation laws is emerging as an important field, not only because it developed from applications of current interest, such as reservoir simulation, visco-elasticity, and multiphase flow, but also because the subject raises interesting mathematical questions of well-posedness, the structure of solutions, and admissibility criteria for weak solutions. The papers in this collection are based on talks presented at an AMS Special Session, held in Anaheim, California, in January 1985. Requiring some background in conservation laws, this collection will be of interest to research mathematicians working in the field of nonstrictly hyperbolic partial differential equations, as well as students who are learning the area and are looking for new applications and challenging problems in this field. The collection provides an overview of the field, examples of applications, descriptions of available techniques, and a bibliography of the literature.
Author: Barbara Lee Keyfitz Publisher: American Mathematical Soc. ISBN: 0821850695 Category : Mathematics Languages : en Pages : 148
Book Description
The area of nonstrictly hyperbolic conservation laws is emerging as an important field, not only because it developed from applications of current interest, such as reservoir simulation, visco-elasticity, and multiphase flow, but also because the subject raises interesting mathematical questions of well-posedness, the structure of solutions, and admissibility criteria for weak solutions. The papers in this collection are based on talks presented at an AMS Special Session, held in Anaheim, California, in January 1985. Requiring some background in conservation laws, this collection will be of interest to research mathematicians working in the field of nonstrictly hyperbolic partial differential equations, as well as students who are learning the area and are looking for new applications and challenging problems in this field. The collection provides an overview of the field, examples of applications, descriptions of available techniques, and a bibliography of the literature.
Author: Barbara L. Keyfitz Publisher: ISBN: Category : Languages : en Pages : 7
Book Description
This project has centered on formulating and solving mathematical problems that arise in the study of systems of conservation laws that are not of the classical, strictly hyperbolic type. Potential applications for these results are found in models for three-phases flow in porous media, for compressible two-phase flow, and for flow in elastic and elastoplastic materials (including continuum models for granular flow). Modelling of many different flow processes has led to systems of conservation laws in which the classical assumptions breakdown in a way which leads to distrust of the models. Research in this and allied projects is directed at extending the mathematical theory of conservation laws. The practical goal of this research is to discover which models are well-posed, and, hence, to enable applied scientists to discover which are correct descriptions of various observed instabilities. (JHD).
Author: Heinrich Freistuhler Publisher: CRC Press ISBN: 9780849306440 Category : Mathematics Languages : en Pages : 276
Book Description
Systems of partial differential equations reflecting conservation laws hold significant relevance to a variety of theoretical and practical applications, including compressible fluid flow, electromagnetism, elasticity theory, and other areas of continuum mechanics. This field of nonlinear analysis is currently experiencing a marked increase in successful research activity. The EU-TMR network "Hyperbolic Systems of Conservation Laws held a summer program offering short courses on the Analysis of Systems of Conservation Laws. This book contains five of the self-contained short courses presented during this program by experts of international reputation. These courses, which address solutions to hyperbolic systems by the front tracking method, non-strictly hyperbolic conservation laws, hyperbolic-elliptic coupled systems, hyperbolic relaxation problems, the stability of nonlinear waves in viscous media and numerics, and more, represent the state of the art of most central aspects of the field.
Author: Constantine M. Dafermos Publisher: Springer Science & Business Media ISBN: 3540290893 Category : Mathematics Languages : en Pages : 636
Book Description
This is a lucid and authoritative exposition of the mathematical theory of hyperbolic system laws. The second edition contains a new chapter recounting exciting recent developments on the vanishing viscosity method. Numerous new sections introduce newly derived results. From the reviews: "The author is known as one of the leading experts in the field. His masterly written book is, surely, the most complete exposition in the subject of conservations laws." --Zentralblatt MATH
Author: Yunguang Lu Publisher: CRC Press ISBN: 1000738094 Category : Mathematics Languages : en Pages : 170
Book Description
The method of compensated compactness as a technique for studying hyperbolic conservation laws is of fundamental importance in many branches of applied mathematics. Until now, however, most accounts of this method have been confined to research papers. Offering the first comprehensive treatment, Hyperbolic Conservation Laws and the Compensated Comp
Author: Barbara Lee Keyfitz
Author: Barbara Lee Keyfitz
Author: Barbara L. Keyfitz
Author: Heinrich Freistuhler
Author: Barbara Lee Keyfitz
Author: Pui Tak Kan
Author: Pui Tak Kan
Author: University of Minnesota. Institute for Mathematics and Its Applications
Author: Constantine M. Dafermos
Author: Tak Kwong Wong
Author: Yunguang Lu